SOLUTION: A pot contains 8 L of brine at a concentration of 120 g/L. How much of the water should be boiled off to increase the concentration to 160 g/L

Algebra ->  Equations -> SOLUTION: A pot contains 8 L of brine at a concentration of 120 g/L. How much of the water should be boiled off to increase the concentration to 160 g/L      Log On


   

Question 842957: A pot contains 8 L of brine at a concentration of 120 g/L. How much of the water should be boiled off to increase the concentration to 160 g/L
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Let v = volume of water alone to remove through boiling

%288%2A120%29%2F%288-v%29=160 at least a good approximation.
The amount of salt in the brine remains the same, but the volume decreases according to loss of water, v.
-
Solve for v.
8-v=8%2A120%2F160
8-120%2A8%2F160=v
v=8%281-12%2F16%29=8%281-3%2F4%29
v=8%281%2F4%29
highlight%28v=2%29 liters